Infinitesimal unipotent group schemes of complexity 1

Rolf Farnsteiner; Gerhard Röhrle; Detlef Voigt

Colloquium Mathematicae (2001)

  • Volume: 89, Issue: 2, page 179-192
  • ISSN: 0010-1354

Abstract

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We classify the uniserial infinitesimal unipotent commutative groups of finite representation type over algebraically closed fields. As an application we provide detailed information on the structure of those infinitesimal groups whose distribution algebras have a representation-finite principal block.

How to cite

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Rolf Farnsteiner, Gerhard Röhrle, and Detlef Voigt. "Infinitesimal unipotent group schemes of complexity 1." Colloquium Mathematicae 89.2 (2001): 179-192. <http://eudml.org/doc/283419>.

@article{RolfFarnsteiner2001,
abstract = {We classify the uniserial infinitesimal unipotent commutative groups of finite representation type over algebraically closed fields. As an application we provide detailed information on the structure of those infinitesimal groups whose distribution algebras have a representation-finite principal block.},
author = {Rolf Farnsteiner, Gerhard Röhrle, Detlef Voigt},
journal = {Colloquium Mathematicae},
keywords = {uniserial groups; infinitesimal groups; finite representation type; Witt vectors; Dieudonné modules; simple modules; group schemes},
language = {eng},
number = {2},
pages = {179-192},
title = {Infinitesimal unipotent group schemes of complexity 1},
url = {http://eudml.org/doc/283419},
volume = {89},
year = {2001},
}

TY - JOUR
AU - Rolf Farnsteiner
AU - Gerhard Röhrle
AU - Detlef Voigt
TI - Infinitesimal unipotent group schemes of complexity 1
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 2
SP - 179
EP - 192
AB - We classify the uniserial infinitesimal unipotent commutative groups of finite representation type over algebraically closed fields. As an application we provide detailed information on the structure of those infinitesimal groups whose distribution algebras have a representation-finite principal block.
LA - eng
KW - uniserial groups; infinitesimal groups; finite representation type; Witt vectors; Dieudonné modules; simple modules; group schemes
UR - http://eudml.org/doc/283419
ER -

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